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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Sat, 9 Nov 2024 12:45:05 +0100 Organization: A noiseless patient Spider Lines: 23 Message-ID: <vgni02$3osmc$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> <vgab11$st52$3@dont-email.me> <ecffc7c0-05a2-42df-bf4c-8ae3c2f809d6@att.net> <vgb0ep$11df5$4@dont-email.me> <35794ceb-825a-45df-a55b-0a879cfe80ae@att.net> <vgfgpo$22pcv$1@dont-email.me> <40ac3ed2-5648-48c0-ac8f-61bdfd1c1e20@att.net> <vgg57o$25ovs$2@dont-email.me> <71fea361-0069-4a98-89a4-6de2eef62c5e@att.net> <vggh9v$27rg8$3@dont-email.me> <ff2c4d7c-33b4-4aad-a6b2-88799097b86b@att.net> <vghuoc$2j3sg$1@dont-email.me> <d79e791d-d670-4a5a-bd26-fdf72bcde6bc@att.net> <vgj4lk$2ova9$3@dont-email.me> <f154138e-4482-4267-9332-151e2fd9f1ba@att.net> <vgkoi7$b5pp$1@solani.org> <6d9f3b10-47ad-459c-9536-098ce91f514b@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 09 Nov 2024 12:45:06 +0100 (CET) Injection-Info: dont-email.me; posting-host="61c0098f25fee3c5f34d41f8e7412679"; logging-data="3961548"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18b/PVvPZr9akjAE3tIUZ3fpwDCDfHp3y4=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:erdogmgKG3TDCiMAx5n1ow+vVoM= In-Reply-To: <6d9f3b10-47ad-459c-9536-098ce91f514b@att.net> Content-Language: en-US Bytes: 2382 On 08.11.2024 19:01, Jim Burns wrote: > On 11/8/2024 5:18 AM, WM wrote: >> My understanding of mathematics and geometry >> is that >> reordering cannot increase the measure >> (only reduce it by overlapping). >> This is a basic axiom which >> will certainly be agreed to by >> everybody not conditioned by matheology. > > By > "everybody not conditioned by matheology" > you mean > "everybody who hasn't thought much about infinity" Everybody who believes that the intervals I(n) = [n - 1/10, n + 1/10] could grow in length or number to cover the whole real axis is a fool or worse. Regards, WM